The number
A068933(n,r) of disconnected r-regular (simple) graphs on n vertices.
|
A068932 |
  |
  |
  |
A165652 |
A165653 |
A033483 |
A165655 |
A165656 |
A165877 |
A165878 |
| all r |
n\r |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30 |
31 |
32 |
33 |
34 |
35 |
36 |
37 |
38 |
39 |
| 0 |
1 |
| 1 |
2 |
1 |
| 1 |
3 |
1 |
| 2 |
4 |
1 |
1 |
| 1 |
5 |
1 |
0 |
| 3 |
6 |
1 |
1 |
1 |
| 2 |
7 |
1 |
0 |
1 |
| 5 |
8 |
1 |
1 |
2 |
1 |
| 4 |
9 |
1 |
0 |
3 |
0 |
| 9 |
10 |
1 |
1 |
4 |
2 |
1 |
| 7 |
11 |
1 |
0 |
5 |
0 |
1 |
| 23 |
12 |
1 |
1 |
8 |
9 |
3 |
1 |
| 18 |
13 |
1 |
0 |
9 |
0 |
8 |
0 |
| 74 |
14 |
1 |
1 |
12 |
31 |
25 |
3 |
1 |
| 106 |
15 |
1 |
0 |
16 |
0 |
88 |
0 |
1 |
| 619 |
16 |
1 |
1 |
20 |
147 |
378 |
66 |
5 |
1 |
| 2076 |
17 |
1 |
0 |
24 |
0 |
2026 |
0 |
25 |
0 |
| 22526 |
18 |
1 |
1 |
32 |
809 |
13351 |
8029 |
297 |
5 |
1 |
| 112834 |
19 |
1 |
0 |
38 |
0 |
104595 |
0 |
8199 |
0 |
1 |
| 4799825 |
20 |
1 |
1 |
48 |
5855 |
930586 |
3484760 |
377004 |
1562 |
7 |
1 |
| 31138965 |
21 |
1 |
0 |
59 |
0 |
9124662 |
0 |
22014143 |
0 |
100 |
0 |
| 4207943011 |
22 |
1 |
1 |
72 |
54477 |
96699987 |
2595985770 |
1493574756 |
21617036 |
10901 |
9 |
1 |
| 115979718015 |
23 |
1 |
0 |
87 |
0 |
1095469608 |
0 |
114880777582 |
0 |
3470736 |
0 |
1 |
| 13482672647959 |
24 |
1 |
1 |
109 |
633057 |
13175272208 |
2815099031417 |
9919463450855 |
733460349818 |
1473822243 |
88238 |
11 |
1 |
|   |
25 |
1 |
0 |
129 |
0 |
167460699184 |
0 |
  |
0 |
734843169811 |
0 |
550 |
0 |
|   |
26 |
1 |
1 |
157 |
8724874 |
2241578965849 |
  |
  |
  |
  |
113315027550 |
806174 |
13 |
1 |
|   |
27 |
1 |
0 |
190 |
0 |
  |
0 |
  |
0 |
  |
0 |
2585947720 |
0 |
1 |
|   |
28 |
1 |
1 |
229 |
137047391 |
  |
  |
  |
  |
  |
  |
9802278927562 |
8037887 |
18 |
1 |
|   |
29 |
1 |
0 |
272 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
4224 |
0 |
|   |
30 |
1 |
1 |
330 |
2391169355 |
  |
  |
  |
  |
  |
  |
  |
  |
86228020 |
21 |
1 |
|   |
31 |
1 |
0 |
390 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
CAN DO |
0 |
1 |
|   |
32 |
1 |
1 |
467 |
45626910415 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
985884104 |
26 |
1 |
|   |
33 |
1 |
0 |
555 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
42135 |
0 |
|   |
34 |
1 |
1 |
659 |
942659626031 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
11946634677 |
33 |
1 |
|   |
35 |
1 |
0 |
778 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
1 |
|   |
36 |
1 |
1 |
926 |
20937539944549 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
CAN DO |
40 |
1 |
|   |
37 |
1 |
0 |
1086 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
516383 |
0 |
|   |
38 |
1 |
1 |
1283 |
497209670658529 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
CAN DO |
49 |
1 |
|   |
39 |
1 |
0 |
1509 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
1 |
|   |
40 |
1 |
1 |
1774 |
12566853576025106 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
61 |
1 |
|   |
41 |
1 |
0 |
2074 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
7373984 |
0 |
|   |
42 |
1 |
1 |
2437 |
336749273734805530 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
73 |
1 |
|   |
43 |
1 |
0 |
2841 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
1 |
|   |
44 |
1 |
  |
  |
9534909974420181226 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
89 |
1 |
|   |
45 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
118573680 |
0 |
|   |
46 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
110 |
1 |
|   |
47 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
1 |
|   |
48 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
131 |
1 |
|   |
49 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
2103205868 |
0 |
|   |
50 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
158 |
1 |
|   |
51 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
1 |
|   |
52 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
192 |
1 |
|   |
53 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
40634185593 |
0 |
|   |
54 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
230 |
1 |
|   |
55 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
1 |
|   |
56 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
274 |
1 |
|   |
57 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
847871397697 |
0 |
|   |
58 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
331 |
1 |
|   |
59 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
1 |
|   |
60 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
392 |
1 |
|   |
61 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
18987149095396 |
0 |
|   |
62 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
468 |
1 |
|   |
63 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
1 |
|   |
64 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
557 |
1 |
|   |
65 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
454032821689310 |
0 |
|   |
66 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
660 |
1 |
|   |
67 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
1 |
|   |
68 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
780 |
1 |
|   |
69 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
11544329612486760 |
0 |
|   |
70 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
927 |
1 |
|   |
71 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
1 |
|   |
72 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
1088 |
1 |
|   |
73 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
310964453836199398 |
0 |
|   |
74 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
1284 |
1 |
|   |
75 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
1 |
|   |
76 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
1511 |
1 |
|   |
77 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
8845303172513782781 |
0 |
|   |
78 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
1775 |
1 |
|   |
79 |
1 |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
  |
0 |
1 |
|   |
80 |
1 |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
  |
1 |